23424042432 has 224 divisors, whose sum is σ = 73947893760. Its totient is φ = 6402908160.

The previous prime is 23424042377. The next prime is 23424042437.

23424042432 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×23424042432² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23424042432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23424042437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3704938 + ... + 3711254.

Almost surely, 2^23424042432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23424042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36973946880).

23424042432 is an abundant number, since it is smaller than the sum of its proper divisors (50523851328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23424042432 is a wasteful number, since it uses less digits than its factorization.

23424042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 234240 and 42432, that added together give a palindrome (276672).

The spelling of 23424042432 in words is "twenty-three billion, four hundred twenty-four million, forty-two thousand, four hundred thirty-two".